University of KashanIranian Journal of Mathematical Chemistry2228-64898220170601Some Relations Between Kekule Structure and Morgan-Voyce Polynomials2212294491210.22052/ijmc.2017.49481.1177ENI. GultekinAtaturk UniversityB. Sahinbayburt universityJournal Article20160302In this paper, Kekule structures of benzenoid chains are considered. It has been shown that the coefficients of a B_n (x) Morgan-Voyce polynomial equal to the number of k-matchings (m(G,k)) of a path graph which has N=2n+1 points. Furtermore, two relations are obtained between regularly zig-zag nonbranched catacondensed benzenid chains and Morgan-Voyce polynomials and between regularly zig-zag nonbranched catacondensed benzenid chains and their corresponding caterpillar trees.https://ijmc.kashanu.ac.ir/article_44912_aac8686b1165c6a5ad1135a5ce3ad326.pdf